Some polynomials associated with the -Whitney numbers

被引：0
|
作者：
Corcino, Cristina B. [1 ,2 ]
Corcino, Roberto B. [1 ,2 ]
Mezo, Istvan [3 ]
Ramirez, Jose L. [4 ]
机构：
[1] Cebu Normal Univ, Dept Math, Osmena Blvd, Cebu 6000, Philippines
[2] Natl Res Council Philippines, Dept Sci & Technol, Math Sci Div, Gen Santos Ave, Taguig 1631, Metro Manila, Philippines
[3] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
[4] Univ Nacl Colombia, Dept Matemat, Bogota, Colombia
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2018年 / 128卷 / 03期
关键词：
Combinatorial identities; r-Whitney number; r-Dowling polynomial; r-Whitney-Fubini polynomial; r-Eulerian-Fubini polynomial; BELL; FORMULA;
D O I：
10.1007/s12044-018-0406-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present article, we study three families of polynomials associated with the r-Whitney numbers of the second kind. They are the r-Dowling polynomials, r-Whitney-Fubini polynomials and the r-Eulerian-Fubini polynomials. Then we derive several combinatorial results by using algebraic arguments (Rota's method), combinatorial arguments (set partitions) and asymptotic methods.
引用
收藏
页数：25
相关论文
共 50 条
  • [21] SOME COMBINATORIAL IDENTITIES OF THE r-WHITNEY-EULERIAN NUMBERS
    Mansour, Toufik
    Ramirez, Jose L.
    Shattuck, Mark
    Villamarin, Sergio N.
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2019, 13 (02) : 378 - 398
  • [22] Minimal polynomials of some beta-numbers and Chebyshev polynomials
    Kwon, Doyong
    ACTA ARITHMETICA, 2007, 130 (04) : 321 - 332
  • [23] STIRLING NUMBERS ASSOCIATED WITH SEQUENCES OF POLYNOMIALS
    Kim, Dae San
    Kim, Taekyun
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2023, 22 (01) : 80 - 115
  • [24] Several polynomials associated with the harmonic numbers
    Cheon, Gi-Sang
    Hwang, Suk-Geun
    Lee, Sang-Gu
    DISCRETE APPLIED MATHEMATICS, 2007, 155 (18) : 2573 - 2584
  • [25] DEGENERATE BERNOULLI NUMBERS AND POLYNOMIALS ASSOCIATED WITH DEGENERATE HERMITE POLYNOMIALS
    Haroon, Hiba
    Khan, Waseem Ahmad
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 33 (02): : 651 - 669
  • [26] On a q-analog of some numbers and polynomials
    Serkan Araci
    Erkan Ağyüz
    Mehmet Acikgoz
    Journal of Inequalities and Applications, 2015
  • [27] On Some Arithmetical Properties of the Genocchi Numbers and Polynomials
    Kyoung Ho Park
    Young-Hee Kim
    Advances in Difference Equations, 2008
  • [28] SOME IDENTITIES RELATED TO THE EULER NUMBERS AND POLYNOMIALS
    Jang, Douk Soo
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (03): : 591 - 601
  • [29] Estimates for polynomials in logarithms of some rational numbers
    Sorokin V.N.
    Journal of Mathematical Sciences, 2007, 146 (2) : 5759 - 5770
  • [30] SOME IDENTITIES INVOLVING GENOCCHI POLYNOMIALS AND NUMBERS
    Kim, Dae San
    Kim, Taekyun
    ARS COMBINATORIA, 2015, 121 : 403 - 412
12345